From f34412e46b66809276af81b9c81d7a25fdcc0274 Mon Sep 17 00:00:00 2001
From: Utensil <utensilcandel@gmail.com>
Date: Sat, 30 Mar 2024 19:12:41 +0800
Subject: [PATCH] Use math code blocks instead

---
 README.md | 34 ++++++++++++++++++----------------
 1 file changed, 18 insertions(+), 16 deletions(-)

diff --git a/README.md b/README.md
index 4aa99876..f266699b 100644
--- a/README.md
+++ b/README.md
@@ -48,18 +48,18 @@ Features
 
 Overloaded Python operators for basic GA operations:
 
-$$
+```math
 \begin{split}\begin{aligned}
   A+B &=  \texttt{A+B} \\
   A-B &=  \texttt{A-B} \\
   AB &=  \texttt{A*B} \\
-  A \wedge B &=  \texttt{A \\^{} B} \\
+  A \wedge B &=  \texttt{A \^{} B} \\
   A \cdot B &=  \texttt{A|B} \\
   A \rfloor B &=  \texttt{A<B} \\
   A \lfloor B &=  \texttt{A>B} \\
   A/B &=  \texttt{A/B} \\
 \end{aligned}\end{split}
-$$
+```
 
 ### Geometric Calculus
 
@@ -70,12 +70,12 @@ $$
 
 The various derivatives of a multivector function is accomplished by multiplying the gradient operator vector with the function:
 
-$$
+```math
 \begin{aligned}
-  \nabla F &=  \texttt{grad\*F} \\
-  F \bar{\nabla} &=  \texttt{F\*rgrad} \\
-  \nabla {\wedge}F &=  \texttt{grad \\^{} F} \\
-  F {\wedge}\bar{\nabla} &=  \texttt{F \\^{} rgrad} \\
+  \nabla F &=  \texttt{grad*F} \\
+  F \bar{\nabla} &=  \texttt{F*rgrad} \\
+  \nabla {\wedge}F &=  \texttt{grad \^{} F} \\
+  F {\wedge}\bar{\nabla} &=  \texttt{F \^{} rgrad} \\
   \nabla \cdot F &=  \texttt{grad|F} \\
   F \cdot \bar{\nabla} &=  \texttt{F|rgrad} \\
   \nabla \rfloor F &=  \texttt{grad<F} \\
@@ -83,14 +83,14 @@ $$
   \nabla \lfloor F &=  \texttt{grad>F} \\
   F \lfloor \bar{\nabla} &= \texttt{F>rgrad}
 \end{aligned}
-$$
+```
 
-$$
+```math
 \begin{aligned}
-  F \nabla &=  \texttt{F\*grad} \\
-  \bar{\nabla} F &=  \texttt{rgrad\*F} \\
-  F {\wedge}\nabla &=  \texttt{F \\^{} grad} \\
-  \bar{\nabla} {\wedge}F &=  \texttt{rgrad \\^{} F} \\
+  F \nabla &=  \texttt{F*grad} \\
+  \bar{\nabla} F &=  \texttt{rgrad*F} \\
+  F {\wedge}\nabla &=  \texttt{F \^{} grad} \\
+  \bar{\nabla} {\wedge}F &=  \texttt{rgrad \^{} F} \\
   F \cdot \nabla &=  \texttt{F|grad} \\
   \bar{\nabla}\cdot F &=  \texttt{rgrad|F} \\
   F \rfloor \nabla &=  \texttt{F<grad} \\
@@ -98,7 +98,7 @@ $$
   F \lfloor \nabla &=  \texttt{F>grad} \\
   \bar{\nabla} \lfloor F &= \texttt{rgrad>F}
 \end{aligned}
-$$
+```
 
 Tip: an example for getting `grad` and `rgrad` of a 3-d Euclidean geometric algebra in rectangular coordinates:
 
@@ -145,7 +145,9 @@ M.grade(3).Fmt(3,r'\langle \mathbf{M} \rangle _3')
 
 You will see:
 
-![](https://raw.githubusercontent.com/pygae/galgebra/master/doc/images/st4_M3.svg?sanitize=true)
+```math
+\begin{aligned}   \langle \mathbf{M} \rangle _3 =& M^{txy}  \boldsymbol{e}_{t}\wedge \boldsymbol{e}_{x}\wedge \boldsymbol{e}_{y} \\  &  + M^{txz}  \boldsymbol{e}_{t}\wedge \boldsymbol{e}_{x}\wedge \boldsymbol{e}_{z} \\  &  + M^{tyz}  \boldsymbol{e}_{t}\wedge \boldsymbol{e}_{y}\wedge \boldsymbol{e}_{z} \\  &  + M^{xyz}  \boldsymbol{e}_{x}\wedge \boldsymbol{e}_{y}\wedge \boldsymbol{e}_{z}  \end{aligned}
+```
 
 You may also check out more examples [here](https://github.com/pygae/galgebra/blob/master/examples/).